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Finding the Fourth Proportional to 4,824.32, 6,655.86 and 2,935.30

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Solution

The fourth proportional to 4,824.32, 6,655.86 and 2,935.30 is: 4,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.32 : 6,655.86 = 2,935.30 : x
  2. Step 2: Convert to fraction form
    4,824.32/6,655.86 = 2,935.30/x
  3. Step 3: Cross multiply
    4,824.32x = 6,655.86 × 2,935.30
  4. Step 4: Simplify right side
    4,824.32x = 19,536,945.86
  5. Step 5: Solve for x
    x = 19,536,945.86/4,824.32
  6. Step 6: Final answer
    x = 4,049.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.